15004125 has 24 divisors (see below), whose sum is σ = 27049464. Its totient is φ = 8001600.

The previous prime is 15004123. The next prime is 15004127. The reversal of 15004125 is 52140051.

It is an interprime number because it is at equal distance from previous prime (15004123) and next prime (15004127).

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 13461561 = 1242^2 + 3669^2 .

It is not a de Polignac number, because 15004125 - 2¹ = 15004123 is a prime.

It is a super-3 number, since 3×15004125³ (a number of 23 digits) contains 333 as substring.

15004125 is a modest number, since divided by 4125 gives 1500 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 15004098 and 15004107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15004123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 7793.

It is an arithmetic number, because the mean of its divisors is an integer number (1127061).

Almost surely, 2^15004125 is an apocalyptic number.

15004125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15004125 is a deficient number, since it is larger than the sum of its proper divisors (12045339).

15004125 is a wasteful number, since it uses less digits than its factorization.

15004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 15004125 is about 3873.5158448108. The cubic root of 15004125 is about 246.6438123051.

Adding to 15004125 its reverse (52140051), we get a palindrome (67144176).

It can be divided in two parts, 15004 and 125, that added together give a square (15129 = 123²).

The spelling of 15004125 in words is "fifteen million, four thousand, one hundred twenty-five".